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100210222020200 = 23527313750100101
BaseRepresentation
bin10110110010010000000010…
…101011111011011001101000
3111010211000002200010122100212
4112302100002223323121220
5101113321013314121300
6553043535050120252
730051643501630355
oct2662200253733150
9433730080118325
10100210222020200
1129a25a09945456
12b2a54b4720088
1343bba25149686
141aa62b472b62c
15b8ba7035a935
hex5b2402afb668

100210222020200 has 96 divisors (see below), whose sum is σ = 237904342355160. Its totient is φ = 39246414336000.

The previous prime is 100210222020187. The next prime is 100210222020217. The reversal of 100210222020200 is 2020222012001.

It can be written as a sum of positive squares in 12 ways, for example, as 17799302842084 + 82410919178116 = 4218922^2 + 9078046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23049851 + ... + 27050250.

Almost surely, 2100210222020200 is an apocalyptic number.

100210222020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210222020200 is an abundant number, since it is smaller than the sum of its proper divisors (137694120334960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100210222020200 is a wasteful number, since it uses less digits than its factorization.

100210222020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50100327 (or 50100318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100210222020200 its reverse (2020222012001), we get a palindrome (102230444032201).

The spelling of 100210222020200 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 10001 13700 14600 20002 27400 40004 50005 80008 100010 200020 250025 400040 500050 1000100 2000200 50100101 100200202 200400404 250500505 400800808 501001010 1002002020 1252502525 2004004040 2505005050 3657307373 5010010100 6863713837 7314614746 10020020200 13727427674 14629229492 18286536865 27454855348 29258458984 34318569185 36573073730 54909710696 68637138370 73146147460 91432684325 137274276740 146292294920 171592845925 182865368650 274548553480 343185691850 365730737300 501051110101 686371383700 731461474600 1002102220202 1372742767400 2004204440404 2505255550505 4008408880808 5010511101010 10021022202020 12526277752525 20042044404040 25052555505050 50105111010100 100210222020200